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CBSE Class 12-science Answered

3 batteries of emf 9,10 and 12V and internal resistance of 1,2 and 3 ohms respectively are connected in parallel with each other. The combination sends current to an external resistance of 6 ohms. Find the current through the 6 ohm resistance and through each of the battery.  
Asked by Jerrin Thomas | 23 Jul, 2014, 07:47: PM
answered-by-expert Expert Answer
The circuit is as shown below
 
 
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According to Kirchhoff's current law, we have
 
Syntax error from line 1 column 49 to line 1 column 73. Unexpected '<mstyle '.                                                ...... (1)
Let V be the potential difference across the points A and B, then we have
 
Syntax error from line 1 column 49 to line 1 column 73. Unexpected '<mstyle '.                ...... (2)
Substituting equation (2) in (1), we get
 
Syntax error from line 1 column 49 to line 1 column 73. Unexpected '<mstyle '.
 
Hence, calculating the value of E and r, we have
 
Syntax error from line 1 column 49 to line 1 column 73. Unexpected '<mstyle '.
 
The parallel combination of cells provides current to external resistance R. Hence, we have
 
Syntax error from line 1 column 49 to line 1 column 73. Unexpected '<mstyle '.
 
Hence, the current through the 6 ohm resistor is 1.64 Ω.
 
Syntax error from line 1 column 49 to line 1 column 73. Unexpected '<mstyle '.
 
Hence, the current through each cell is
 
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Answered by Romal Bhansali | 24 Jul, 2014, 10:39: AM

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